They can be really sensitive to heat, depending on grade I guess, especially the darker colors (ie: trendy gray), and can leave a permanent light discolored mark after you put a hot plate of food on it...like even out of the microwave.

I seen it there and honestly wouldn't use it in my dog's house. 3/8" is really the minimum thickness and even that should have an AO finish on the product. 1/2" can be bought at a reasonable price if you take the time to shop around and aren't too picky on shade.

White shaker cabinets, grey quartz counters, grey floor tile in baths, white subway tile with grey grout in shower/tub, grey house ext, even the int walls are a shade of grey from Sherwin Williams called revere pewter. 

I wouldn't expect your landlord to rush out to fix a window shade.

To help seed your study, parks come in two flavors (and shades of gray in between), 100% park owned homes which the park and manager run as rentals, this is very problematic, turn over, theft, home damage.  

Wondering how much quicker white will look dirty though compared to a darker color.

I am doing LVP in the kitchens and hallways (natural wood look in darker tone), white kitchen cabinets with stainless appliances, and have painted Agreeable Gray SW throughout.

That is deeper darker terrain than I would be able to get into especially regarding another state's laws.

The trees will shade the house in the summer.

And it’s really NOT necessary except in special cases, like over new drywall or stains, going from a glossier sheen to a duller sheen, or before going from a darker color to a drastically lighter one.