LP2985: LP2985 works stable in parallel ?

Dear Experts,

We have some issues with EMC connecting an external switching PSU to a power Management.
The schematic is a little bit unusual for me in case of running two linear regulators in parallel. The Input 5.5V is regulated to 3.3v using two LP2985. I do not find that this is an instable variant in the datasheed but I´ve mean that running linear regulators in parallel will raise some issuses. It´s not stable in case of oscillation.
An other part of the power management schematic use the same idea but running one LP2985 and one LP3982 for 3.3V output in parallel.

Question: Is it "allowed" to run LP2985 in parallel and is this solution stable?

Thanks a lot for any hint and suggestions.

Best Regards
Karsten