To me this reads otherwise.
It still does not say that it definitely would have mattered but the fact is that RD objectively is more valuable than LD and that universally factors into BPA. This has nothing to do with selecting Reinbacher on any level anyways as LD was the only position that we were absolutely stacked at. If they chose a player at any other position your argument could still be applied as we have a need everywhere other than LD and just because Reinbacher is a D does not automatically make him a need pick anymore than a forward or a goaltender would have been.
If Michkov was a C and not a W it would have changed his BPA rating as well yet if they selected him it would not be considered "drafting for need".
The only thing that should be taken from this comment is that LD was a position that they had devalued in their positional hierarchy due to it being such an organizational strength. I don't know how anyone makes the leap to "therefore drafting a RD was drafting for need". It is equally as unrelated as if they drafted a winger in Michkov.
The two most valuable assets in the NHL are big, skilled RHD's and RHC's and this directly factors into the BPA quotient that every team formulates. BPA should really be changed to BAA (Best Asset Available) because this is actually how NHL teams draft and encompasses criteria such as positional value, geopolitical factors, size etc. The term BPA is misleading to many fans and leaves their comparative baseline as a nebulous collection of vague interpretations that are viewed through a perceived team bias as opposed to a league wide value system.