Situations and planning
Managing bathroom building work while working from home
Noise, dust and access for tradespeople through a working home office are practical problems worth solving before work starts, not during it, agreeing quiet hours around calls and a route through the house that avoids your desk usually costs nothing but saves real friction.
Planning points
Agree in advance which hours involve the noisiest work, drilling, cutting tile, removing a bath, so you can schedule calls and focused work around them.
Ask whether the team can use a specific entrance or route that avoids walking dust through the room you're working in, particularly if it's not a straight line to the bathroom.
Set expectations on water and power interruptions, since a job needing the stopcock off or a circuit isolated will directly affect anything relying on those services.
If broadband or a router sits anywhere near the work area, confirm it won't be disturbed, or plan a temporary alternative for the affected days.

Your questions answered
Can building work be scheduled around video calls?
Most fitters can plan the noisiest tasks for particular parts of the day if you flag your schedule upfront, though full flexibility depends on trade sequencing like drying times.
Will there be days with no water or power at all?
Possibly, particularly around first fix, ask specifically which days are affected so you can plan around them rather than finding out on the day.
Not sure which option suits your property?
Most of these decisions come down to what is behind the wall and under the floor. A site visit settles it quickly.