I think Robinhood has started requiring these on every single trade online. They also have one where you have to select the image where the dice in the picture add up to some number (it's really poorly worded though). They take forever. It basically has made me stop using their site.
The presence of a captcha at all makes me rethink whether or not I really need to access the site.
If I really need it, I'll do the captcha. If the captcha is too problematic, though, or if I have to do one more than once, then I'll skip the site entirely. I can't think of an online service I need so badly that I'll put up with that nonsense.