A picture of what you have now would be helpful I am trying to figure out a bathroom without a sink. The easiest is an LED track with 3500-5000K bulbs

Brief ideabook on adding lighting to a dark bath. I hope at least one idea sparks some creativity for you

https://www.houzz.com/magazine/how-to-light-up-a-dark-bathroom-stsetivw-vs~557073

Glass shower enclosures have improved greatly since the nasty ones we had in the 80s. Without the shower curtain, and with a glass enclosure, more light would go into the shower area. Make a visit to your local glass company to see examples.

But to your actual lighting question, you could consider an LED recessed light over the toilet and a separate vent fan, or an updated combo LED light/fan. In addition, ask your electrician if he could d add a wet area rated LED recessed light over the tub. Another option would be to change the existing fan/light combo to a new quiet fan and add a track light running from the toilet toward the doorway, providing code allows this. I'm not sure how far from the tub a track light has to be. Perhaps someone else knows. A track light could provide a lot more light.

My bathroom has a compartment like that. I have a light/fan combo over the toilet and a recessed light over the shower. It's very bright!

You can use a recessed fan/light combo over the tub and use either another recessed light or a decorative flush mount fixture in the toilet area .

https://na.panasonic.com/us/home-living-solutions/ventilation-indoor-air-quality/ventilation-fans/whisperrecessed-ledtm