I agree with the wording of the overall idea. “It would be ideal if it were possible to connect a calendar to the meetings tool that is associated with an email that is connected as a shared inbox.”
However, the comments already made may be taking the idea differently than I think we are looking for. Or at least some further detail would be needed to ensure that the scope fully meets our use case, as below.
We have a mailbox (as part of an Office 365 user account) that is used for prospects to email us and for our team to email responses. This is connected as a Team inbox using the conversation tool. sales@companyname.com
We use the calendar of this same Office 365 account as the sales team’s calendar for appointments in our retail showroom. This means that if a prospect wants a meeting in our showroom, they can book a meeting that includes sales@companyname.com, and this will book out the showroom.
The problem we have is that we can’t use the O365 account both as a team inbox and a connected calendar. This means that meetings set with our showroom (sales@companyname.com) do not show up in HubSpot as meetings because HubSpot can not connect to the O365 account with the meeting.