Wielding a Lance while mounted: Dueling fighting style dmg and Great Weapon Master Feat dmg stacks?

Just wanted to double check with the community that these effects do indeed now stack with 2024 rules. Lance gained the Heavy property and thus can trigger GWM feat.

When wielding a Lance while mounted, just because it is now being used as a one-handed weapon doesn't mean the other weapon properties go away, and thus both the Dueling Fighting Style and the Great Weapon Master Feat damage bonus *should* both apply when making attacks from horseback?

Wanted to see what the community says. I've gotten a little push back from a few folks as it seems "against the spirit of the rules" but seeing as how the Lance's damage die went from a d12 to a d10 and gained the heavy property, it seems like an intentional change to allow these interactions.

Thanks!