In my opinion,
solar power (which we had on the previous boat) and lead-acid
batteries go together like cookies and cream. Because solar can give the kind of finishing charge which lead
batteries love.
Generator and lead batteries -- what I've had for the last 15 years -- is suboptimal. You have a choice of either not fully
charging the lead batteries, or running the generator forever. And the inefficient charging of lead batteries means more generator hours. At least a little solar is very desirable with lead batteries.
Lithium? Goes with anything, because unlike lead, lithium is like a gas tank. Put
power in, take it out, it doesn't care when you stop charging. And can take a much higher C rate.
This is great for a generator. Get your charge as a side effect of using the generator for some heavier load; store
shore power or
alternator produced power.
Lithium being much lighter and more compact per kWh of
storage, and now much cheaper than lead, means you can have much greater
storage capacity. My new system will have fully triple the practical storage capacity of my previous lead system. The more storage you have, the more opportunistic you can be about when to charge.
So in my view, solar, even if it's still great, is much less necessary, if you have lithium.