https://zenodo.org/record/1229348
"Experimental infection with Ad5, Ad36, and Ad37 produced excess adiposity or weight gain in animals."
Good riddance. That's the type of carrier virus that almost all the non-mRNA covid vaccines are using. Ad5 specifically is used by the Sputnik vaccine for the 2nd dose. The same vaccine that Brazilian authorities found to replicate and possibly infect others.
Obesity is not something that would be easily caught in the short trials that have been done to date...
Specifically, the particular strains used. Some strains of adenoviruses are common in humans. Others are not.