If people mean a LN node they usually say LN node. I guess the set specified by bitcoin node could include LN nodes, but mostly, people seem to say bitcoin node when they refer to software that syncs with the block chain and they seem to say LN node when they mean an additional node that watches/manages lightning channels.
By the way: do you know of a mobile wallet that runs a bitcoin full node? (By full I mean pruned or otherwise, but that downloads and verifies every block)?
Blixt and Zeus, using neutrino. Also Breez, but they will move away from that model to Greenlight.
What people have a wrong understanding of "running a full node" is that they have to run a dedicated machine 24/7/365. And is quite wrong that assumption. Just to "verify" your own transactions you need just a junky laptop with bitcoin core software and open it only when you need it.