They don't list price changes for the Lite outside of Japan, but I'm sure it's coming too.
The Japanese Switch 2 is going up by 20%. The US model is going up by about 10%.
In Japan, the Lite is going up by over 35%. If we assume a similar pattern (US going up by about half as much as in Japan), then that'd take the $230 Lite to more like $270.
I still like my Switch Lite, but almost $300 after tax for it would be absurd.