Thanks
@krew ! I believe they should. I do realize it is a enterprise worth easily hundreds of millions of dollars. However, I have reasons why they should!
1. Lexus (Toyota too) have executives and engineers who are huge fans of motor sport.
2. Lexus (Toyota too) have enough cash for R&D, and to compete.
3. Participating in F1 allows Lexus to bask in the world's stage, get more known to people who are not entirely familiar with Lexus and spread their F brand. It will also help for the pursuit of their electric/hybrid program (alongside Toyota with their WEC program), as F1 cars currently use trick electric systems for their cars.
4. F1 management currently would like more teams to participate in their sport and expand the sport even further.
5. I really do think Lexus will be able to do better than many teams like Renault, Williams, Force India, and go toe-to-toe with constructors like Mercedes, Red Bull and Ferrari.
6. Whats also weird was that Toyota pulled out of F1 because of "financial reasons/economic times" and "the lack of a single win in 8 seasons" in 2009. However, with the teaser of the "racy" GR concept released by Toyota, there seems to be hope. In the Press Release Toyota stated that they will pursue motor sport for a long time, and wont be swayed by the economy. This is promising.
It is a stretch to say that they'll make a comeback, but I dont think Super GT/GT3 racing is enough for Lexus. I know they can do more.