Quick tip,from someone who has dealt with claim management people,
If you have the bike ,keep it, and get the assesor to come to you.
Don't get a "hire " bike, a non hired to you bike is fine.
All the bills for storage and "hire " are down to you till settled.
The settlement may be a given in your case ,but sometimes the claim managers take the other insurance to court for the fees,which if you decline to attend or fail to help with any request they make,you will be chased for the "hire " bike and fees.
Also in my case the court case was listed in Manchester, 400 miles away ,deliberately , to make it hard for the person who took you off to attend.
Never speak to the other insurance people,if they get in touch,tell your insurance,let them deal with it.
Pays to have your wits about you and keep a written record of EVERYTHING, calls and time line.
Not trying to worry you,it will all be fine. But being prepared takes some of the stress out of dealing with them.
All the best.