I mean if you like it then go ahead, but some people might wonder what's the reason behind it, which is completely valid, yet irrelevant to your decision.
Do what u want with your body. But if you resort on skin whitening products don't use the "white supremacy/black lives matter/ black people opressed" speeches.
The want to do so is primarily a product of white supremacy and white imperialism that is ingrained in many POC globally. These people think that being darker-skinned is bad, dirty, poor, ugly, etc because of how white colonialists used skin color to create a scale of beauty and power. Darker-skinned people face more discrimination as a result. So a lot of people are against it because to bleach your skin is seen as sucuumbing to societal pressures of 'white is right' etc.
Tanning is far from the same. Tanning is a fad among white Westerners. Being lighter skinned is still seen as the universal beauty standard. A pale skinned white person will almost never face the same issues as a dark-skinned POC.
Now, you can't tell what people do with their skin. If they want to lighten or bleach that's their choice. But bleaching agents have pretty harmful effects.