Unfortunately your analysis is incorrect. Corporations can give directly to candidates.
In US vs William Danielczyk
"If human beings can make direct campaign contributions within FECA's limits without risking quid pro quo corruption or its appearance, and if, in Citizens United's interpretation of Bellotti, corporations and human beings are entitled to equal political speech rights, then corporations must also be able to contribute within FECA's limits," (Federal Judge) Cacheris wrote.
"Importantly, this finding hardly gives corporations a blank check (so to speak) to directly contribute unlimited amounts to federal campaigns," Cacheris wrote in his 52-page ruling. "Rather, corporations are subject to the same FECA contribution limits as individuals."
This jurisprudence most likely will end up in the Supreme Court. But for now it's the law of the land.
Note the FEC still has the ban on corporate contributions without coming through a PAC on it's literature
Prohibited Contributions and Expenditures
The FECA places prohibitions on contributions and expenditures by certain individuals and organizations. The following are prohibited from making contributions or expenditures to influence federal elections:
Federal government contractors; and
Furthermore, with respect to federal elections:
No one may make a contribution in another person's name.
No one may make a contribution in cash of more than $100.
Although corporations and labor organizations may not make contributions or expenditures in connection with federal elections, they may establish PACs. Corporate and labor PACs raise voluntary contributions from a restricted class of individuals and use those funds to support federal candidates and political committees. Click here to download the Campaign Guide for Corporations and Labor Organizations [PDF].
Apart from supporting PACs, corporations and labor organizations may conduct other activities related to federal elections, within certain guidelines. For more information, call the FEC or consult 11 CFR Part 114.
However, from the Open Secrets site, it does appear that those are individual contributors and PAC donations, respectively.