No, he would not. The report voted on by Parliament doesn't even recommend a 90-day suspension, it instead states that had Johnson not resigned that that would have been their recommendation.
In the light of Mr Johnson's further contempt, we put on record that if he had not resigned his seat, we would have recommended that he be suspended from the service of the House for 90 days [...] In view of the fact that Mr Johnson is no longer a Member, we recommend that he should not be granted a former Member's pass.
There is nothing within the report, nor the motion voted on by the House of Commons, that would result in his suspension if he were to return as an MP in the future. Furthermore, if Johnson were to return to a future Parliament (i.e. not to the current Parliament in a by-election), a sanction of this kind would run contrary to the principle that Parliaments cannot bind their successors. In addition, it would defeat the point of part of the consequences of a suspension; the Recall of MPs Act 2015 is designed to force MPs suspended for longer than 10 days to seek a renewed mandate from their constituents in the face of wrongdoing - if Johnson had just been reelected then he already has that fresh mandate.
With reference to the comments on my answer linked in the question, it was suggested that Sir Chris Bryant, the former Chair of the Privileges Committee, had stated that the suspension would apply to Johnson if he were to return to Parliament. However, I am unsure where Sir Chris made this statement, as this tweet from him seems pretty unequivocal to the contrary. Dr Hannah White, the director of the Institute for Government, has also concurred with this conclusion.