Would a japanese steakhouse be too much for a first date?

So a friend I've known for about 2-3 years on PS3 has come here to America from the Bahamas. Hes in a city to attend a technichal school for about a year. He has a house to himself that his parents bought since they come to America every year for vacation. While at the school he met a chick. They've known each other for like a week...her friend told him that she likes him. Now they have a date. He said she said she likes Japanese food, he does too, and he said hes never been to a Japanese Steakhouse. So I suggested he takes her to one. But now that I thought about it, a Japanese Steakhouse isnt really your average casual restaurant. $20-30 per person (at least everytime I go) even if you get the cheaper options. It just seems like..it'd come off as trying to make a big impression, or she might think hes a really rich guy. It just seems like it might be a bit too much..not sure if I should tell him this or not though. What do you guys think?