Every car I've owned for the last 40 years I've de-emblemed (removed all of the emblems)
I'll leave things that are built in (like the bowtie on a Chevy grill) but everything on the sides and back I pull off.
I think it makes a car look "cleaner"
I do have a box full of emblems; I may strip them off, but I don't throw them away.
I also pull off dealer license frames as soon as I can; one car I bought, the license frame never left the lot. Salesman asked me why once, I told him "if you want to pay me for advertising, I'll leave it on".