After thinking about this I realize I have a split personality on this as a player I prefer RAW as a DM I prefer RAI. 
I guess part of it for me is I have experiences with DMs who make changes not understanding why a rule is written in a certain way and then the game goes bad because of it. Like allowing warlocks to use two weapon fighting to cast more eldritch blasts a round which meant he was casting four every round. It over powered his character and totally ended up frustrating the DM whose solution was to bring on more powerful monsters that ended up kicking the rest of us in the teeth.
I also get frustrated if I have to go to the DM for every little thing about my character and there is nothing more aggravating than planning your move and having the DM say no that does work because he on the spot has changed how a rule was written.
When I DM I tend to look at the RAW first then make changes that I discuss ahead of time. If a rule is unclear during play I make a ruling and we talk about it after the game. I also keep note of things like that in my house rule book.
I think newbie DMs do well with a game with a good well written rule system. I think it leads to less frustrations as they learn the game.
So I guess yes there is room for RAW in 5E but there is also room for RAI.
And I am calling a huge BS on saying that you can't role play with RAW.
I played a lot of AD&D and I have no desire to go back to it. I was ready for a rule change I was sick of the arguments over no that spell couldn't hit me because that is not where I was standing or the DM saying no you didn't sneak into the orc camp unnoticed or no you didn't noticed them sneaking into your camp.
I have not had a major look yet at 5E but from what i have seen it does not seem that there is no RAW in it.
I am big believer that a well written rule system is the base for a good game that it actually helps both player and DMs and helps with RAI.

I guess part of it for me is I have experiences with DMs who make changes not understanding why a rule is written in a certain way and then the game goes bad because of it. Like allowing warlocks to use two weapon fighting to cast more eldritch blasts a round which meant he was casting four every round. It over powered his character and totally ended up frustrating the DM whose solution was to bring on more powerful monsters that ended up kicking the rest of us in the teeth.
I also get frustrated if I have to go to the DM for every little thing about my character and there is nothing more aggravating than planning your move and having the DM say no that does work because he on the spot has changed how a rule was written.
When I DM I tend to look at the RAW first then make changes that I discuss ahead of time. If a rule is unclear during play I make a ruling and we talk about it after the game. I also keep note of things like that in my house rule book.
I think newbie DMs do well with a game with a good well written rule system. I think it leads to less frustrations as they learn the game.
So I guess yes there is room for RAW in 5E but there is also room for RAI.
And I am calling a huge BS on saying that you can't role play with RAW.
I played a lot of AD&D and I have no desire to go back to it. I was ready for a rule change I was sick of the arguments over no that spell couldn't hit me because that is not where I was standing or the DM saying no you didn't sneak into the orc camp unnoticed or no you didn't noticed them sneaking into your camp.
I have not had a major look yet at 5E but from what i have seen it does not seem that there is no RAW in it.
I am big believer that a well written rule system is the base for a good game that it actually helps both player and DMs and helps with RAI.