In reply to Kai:
As pointed out by those above it is pretty random, though watching the Chamonix forecasts, the Chamoniarde conditions updates, and the webcams obsessively through the winter will give you a good picture of what you are letting yourself in for.
I spend every winter (except Covid) since 2015 in Chamonix and can discern little or no pattern. They often get the phenomenon of “Janvril” with lots of cold fresh snow in April. Whether snowy or not the formation of ice seems particularly hit and miss.
One thing you can pretty much rely on is the lifts, except in the case of a mechanical.
With the above caveat of something conking out, the Midi never closes at this time. Its annual closure is November and December, reopening for Christmas.
The Skyway from Courmayeur does however close on or around the 1st May. Similarly the Grands Montets closes 1st May. The Brevant gondola remained open until about the 25th April this year for some peculiar reason, but that doesn’t give access to what you are after.
The Le Tour lift closes in the middle of April. However, that does not provide safe access to the Albert Premiere hut at that time of year.
in your shoes I would be planning on accessing most things on skis, or at the very least flogging around on snowshoes.