There's no special context about the tweet, it's mentioned at the bottom of this article:
http://www.thelotusforums.com/latest-news/f1-news/lotus-f1-team-monaco-gp-preview/
They're basing their history on the team itself, not the name. And as easily as names change in F1 I'm not surprised. I do think they should stick with trying to write their own history with the name Lotus F1 and not try and ride the coat tails of Benetton and Renault. I just wish Lotus was behind the car in some way other then just decals on the side of the cars. With other teams like Ferrari, Mercedes and McLaren you have that connection between the team and the manufacturer. You step into your Ferrari after watching an F1 race and feel like you're part of it, you have that connection to the team. There's that thought that some of that technology developed in the race car is in your car, and even if it isn't, you're still Michael Schumacher and can drive better then everyone around you. Until Lotus gets that connection I think you'll always have people saying it's not the real Lotus F1 team.