Having only come on as a replacement just before the break, his introduction was the turning point in a cagey match, and Booth admits it's a huge asset at the Rec, as were the first games for Rob Webber and Matt Gilbert.
He said: "Strings' impact was very noticeable. We talk about class being permanent and we saw that here.
"There are no secrets with a man of that experience - when to kick, when to run, where to go - it just comes easy to him.
"He has come in and fitted in straight away. He's had an impact on the field and the training pitch. That's great - it can only be good for us.
"With Mark [McMillan] it was a blood change first of all but he had a slight hamstring strain at the same time.
"With Pete on the bench, we thought it's just not worth risking it and that situation gave us a good opportunity to get Pete on the pitch. We thought we'd be proactive.
"We had a lot of boys who were playing their first rugby for months. In the first 40 minutes people were feeling their way into the game and we just didn't respect the ball enough.
"We gave it away a bit too cheaply and Exeter are a side renowned for keeping it for long periods.
"We turned around a situation that we probably created ourselves and the second half was massively improved.
"They'd had 40 minutes under their belts, there were a few bits and pieces we tweaked and we had people like Strings coming on and making a big difference.
"As the game went on we got stronger and rightly got rewarded."
Exeter have still never beaten Bath, and with a much-changed side they lacked the finishing touch.
Their inability to turn pressure into points was exemplified by a forward pass to Will Carrick-Smith in the first half, wasting the work which had set up a three-man overlap.
Skills coach Ricky Pellow added: "It was a bit frustrating but the positive part of it is that we created those chances."
Bath Rugby: Cuthbert; Lane (Rokoduguni 68), Banahan, Williams (Vesty 32), Woodburn; Heathcote, McMillan (Stringer 38); Beech (Catt 45), Webber (Batty 40), Perenise (Palmer-Newport 77), Hooper, Attwood, Koster (Skuse 64), Gilbert (Spencer 77), Skirving
Exeter Chiefs: Nowell; Votu, Sestaret (Foster 57), Hill, Tatupu; Slade (Dorrian 57), Chudley (Poluleuligaga 57); Rimmer (Budgen 70), Cowan-Dickie (Yeandle 57), Mitchell (Brown 59), Welch, Carrick-Smith, Conlon (Simmonds 70), White (Blanchet 77), Horstmann
Scorers
Bath Rugby
Tries: Stringer 2
Penalties: Heathcote 2
Exeter Chiefs
Penalties: Slade 2
Referee: Nigel Owens
Attendance: 11,170
