I'm pretty sure if you waved enough money at almost any non-manufacturer team in any motorsport they would let you change the team name. Lotus have basically been doing this all over the place.
I don't consider a sponsor coming in and paying enough money to re-name the team as "owning" the team. Even if they bought out the team, is it really a "Lotus" team without any "Lotus" personnel beyond a common owner?
Anyway I digress, in the current situation, there is no "Lotus" team, only a team heavily sponsored by Lotus - which is HVM. The fact they've recently jumped ship from one team to another only cements further the idea that it isn't really much of a "Lotus" team so much as a "Lotus" sponsor.
To be fair, it is a pretty damn grey area though seeing as there are so few real manufacturer teams these days and the deals Lotus are doing are pretty typical these days. But to keep things less confusing when this happens, lets just refer to the teams by their independent names rather than sponsor names eh?