TBH this is a bad comparison, and so a bad attempt at unifying two rather different situations under the same meme. The situation in India looks nothing like that in the US from where I'm sitting.
In the US there has been frequent alternation in power between the two leading parties at all [federal] levels. The presidential term limits certainly appear to help with that. (The deep blue and deep red states are a somewhat different issue.) But sticking to the federal level, that's hardly the case in India, where the long (50-year) rule of [the] Congress [party] was succeeded by a long-ish (but not uninterrupted) rule of the BJP. One could certainly read/say about two decades ago that
the United States is widely recognized as a two-party system and India is often categorized as a one-party dominant system.
Nowadays the BJP and Congress (and their respective fans) take pot-shot shots at each other as to whom tried/tries to controlled the press more (see e.g. 1 vs 2), and likewise for the judiciary (e.g. 1 vs 2). Suffice to say that long stretches of one-party rule are more likely when there can be capture (and lack of competition) in other parts of the society.
The US is mostly criticized for high polarization and (legislative) deadlock, as well the lack of much prospects for a third party to succeed. Yes, if you have fringe views in the US, it looks like "there's no alternate" in that no 3rd party candidate succeeded at presidential level, but otherwise it's not really the case there's no alternative. Also, the parties are broad/big tents in the US, with legislators often criticizing the policies of their 'own' president in some respects. I'm less sure about India in those regards.
Thanks for updating the Q with some sources. Alas, as I suspected, these are not talking about the same phenomena, despite using the same meme/words.
The 1st & 3rd are easiest to summarize, so I'll leave the 2nd for last.
1st one says essentially that there was no alternative to Biden for driving Trump out in 2020. On Nov 2 when that article ran it was no brainer to claim that, because the primaries were long over and Biden the nominated Democratic candidate. Slightly more interesting would have been to refer to earlier polls that were then finding that Biden was the least divisive candidate for the opposition/Democrats then, and could capture more independents because he was less left-wing (or more centrist). But the article didn't even bother mentioning that instead talking about an obvious triviality that on Nov 2 the only real alternative to Trump was Biden. (Election day was next day, Nov 3.)
3rd one claims there was no alternative to Modi being PM [in 2019] because the opposition (by other parties) was weak & fractured. If the analysis is correct, this is in fact the opposite situation of the above, where the opposition was not weak or fractured [past primaries], and had a single counter-candidate that had good odds of beating the incumbent.
So those two are hardly the same situation despite apparently being described by the same meme.
As for the 2nd source. This one is pretty confusing past the title. Essentially it seems to say that because Biden is running unopposed inside the Democratic party now, he could lose to Trump. But the rest of the analysis is pretty weak IMHO, entirely focusing on the Gaza thing, which may or may not be a big deal by election time. (Even if it is now.) Also, IMHO, the biggest weakness of this analysis is that it doesn't even try to look at any polling whether any other Democrat could do better against Trump. It just claims/implies that Biden running virtually unopposed could cost the Democrats the POTUS, but it's not really showing with any data that any other Democrat could do better presently. But presuming the analysis is correct and Biden prevented a more electable (v. Trump) Democrat from running, it's still not similar to the other two scenarios/claims from the other articles. E.g. it's not claimed that there being no internal BJP alternative to Modi is any kind of issue/disadvantage. And unlike in 2020, there's a 3rd party candidate running now (Kennedy) so even the claim that there's no alternative to these two guys isn't [theoretically] correct now, although practical odds are a different matter. Anyhow, if you buy that Democrats not vigorously challenging Biden internally now [on candidacy rather than specific topics] is an issue, the situation is unlike 2020 (when Dem primaries were competitive), so again 'TINA' used for setups that aren't actually similar in terms of what's claimed about them.