The Trotters remain one of just two Sky Bet Championship clubs yet to pick up three points this term, but they clawed closer to moving out of the bottom three at Bloomfield Road.
It was a contest which ebbed and flowed in a similar fashion to Blackpool's 1-1 draw with Huddersfield last Friday.
"I think it was a hard-fought encounter," Rae said. "We didn't really create a great deal, we had the chance at the death and (Stephen) Dobbie nearly wriggled his way through the defence, we nearly scored from our set-plays, but apart from that we didn't create too many clear-cut chances.
"The pleasing aspect from our point of view is a clean sheet, we conceded too many goals in the last couple of games so from that point of view we're happy and we move on to the next game."
And, after the likes of David Ngog and Chris Eagles were dropped to the bench, Rae concurred with Ince's statement.
He added: "You just look at the bench and some of the boys they've got there cost a lot of money and are on big salaries.
"We knew throughout the squad they had quality and we do believe they're in a false position, so we knew it wasn't going to be easy. We knew they were a force to be reckoned with."
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- Jermaine Beckford