I've exchanged information with others re online account. One is assisting an owners association to put most documentation online including accounting.
It seems clear that different levels of permissions are required. The link,
Multiple permission levels describes the capability with QuickBooks Online Plus.
One of the general restrictions is to protect the accounting information on members' accounts. However, the totals in the form of Accounts Receivable, Uncollected Dues and Assessments, etc. should be available. A related need is for the name and address data base for owners/members. The name and address data base may need to be separately maintained with a software connection to the online accounting.
With online accounting, board members can access the accounting at any time and generate reports of interest. Members can do likewise but may have access to less information. An important aspect is for the online accounting to provide good graphics for various reports. The important messages are sometimes difficult to identify in bedsheets of numbers, while a good graphic hits you between the eyes.
To provide answers to questions, the online accounting should be able to "drill down" to provide the journal entries that create a summary line item in a report merely by double-clicking on the summary number. This obviates the need for members to inquire of the association office to answer such questions.
Of course, another advantage of the online accounting are the build-in controls to help prevent fraud and embezzlement.
Unfortunately, it appears that none of the frequent contributors to HOA Talk has any experience with premium online accounting services. I hope there are several.