Frankly, I am not certain with respect to how TurboTax handles the statement since it does have a signature line. On the other hand, since the statement appears to be transmitted with the rest of the return, it would not make much sense to then have to print out, sign, and mail the statement. You could ask Support (link below) if they have any further information regarding e-filing a return with that particular statement.
https://ttlc.intuit.com/community/using-turbotax/help/what-is-the-turbotax-phone-number/00/25632
Regarding the aggregation, I would imagine it should work if you added descriptions (or even addresses) of all of the properties to which the statement pertains. Alternatively, you could indicate that the statement is applicable to all of the properties reported on Schedule(s) E of the return. At any rate, I also believe you would not need a separate statement for each property.
