Abbott saw the Wembley-bound Cumbrians administer another hammer blow to Cherries when he plotted their downfall at Brunton Park on Saturday.
Peter Murphy's first-half goal earned the Football League Trophy finalists a narrow victory and condemned faltering Cherries to a third successive defeat.
Despite masterminding their latest setback, Abbott believes Cherries have performed heroics to take their promotion push into the final weeks of the season.
He also sees several similarities between the two clubs, including the difficulty in weighing up the balancing act between success and player sales.
Like Cherries, Carlisle have held their own in League One this season despite selling leading goalscorer Gary Madine and influential defender Ian Harte.
Abbott told the Daily Echo: It is testament to them to still be going strong at the top end of the division at this stage of the season. What they have achieved after coming up has been phenomenal.
In terms of finances, fan-base and level, they are probably similar to us. They have lost three top-drawer players during the season and that has got to have an effect on clubs like theirs and ours.
It is very difficult to replace and recover. But you can't take away anything from what they have achieved. They have just got to try to keep it going and regain some momentum between now and the end of the season.
They have a young manager and a young group of players whom are giving an unbelievable amount of honesty. For that alone, I would like to see them rewarded and I wish them all the best.
Cherries were undone when Murphy pounced to score from close range after 26 minutes. Danny Ings had two chances to equalise in the closing stages, the first saved by Carlisle goalkeeper Adam Collin, the second dragged wide.
Boss Lee Bradbury said: We were really disappointed. On another day, we could have scored a couple of goals.
We just need to be more clinical with the chances we are getting.
They only really had one chance when a clearance dropped and the lad had a tap-in from six yards.
The lads are despondent after three defeats on the spin. But we have got to keep the self-belief, togetherness and determination to be successful and I am sure we will come out on top in the end. You get dips in form and ours has just come at the wrong time.
I thought we were worthy of at least a point. More often than not, you get what you deserve but I didn't think we did against Carlisle.