Striking Out solution
by Kegler

The conflicting letters spell THREE HUNDRED and A PERFECT GAME, two different ways to refer to 12 consecutive strikes (i.e., X's) in bowling.

Striking Out solution grid

Across
1GIST (hidden)
4F(RIG)ATES
10OVERSPEND (P.S. NEVER DO anag)
11OPAL (1st letters)
12IS + OMER (MORE anag)
13BAN(KSID)E (DISK rev)
14ALL + OT + TED (TO rev)
16ED + GEts
17HER + MIT (TIM rev)
23IN + DEED
26AUTO ("OTTO" hom)
27EMBE(DDE)R
28SYMPOSIA (SOAP IS MY anag)
30PIE(R)CE
31GOLF (last letters)
32U.N. + SUB + DUE + D
33S(TARC)HED (CART anag)
34EM + MY (ME rev)
Down
1G + ROWTH (THROW anag)
2I + N + H + ALE
3S + TABLES
4EVENT + I'D + E
5REEK (hidden)
6I(RISE)S
7APO + GEE
8ENERG + Y (GREEN anag)
9SE(RV)ER
15DE(TEST)ED
18B(ED)ROOM
19CAMP + U.S.
20QU(A)INT
21V + OYEUR (YOU'RE anag)
22IMP + EDE
24EMBLEM (hidden)
25DR(AFT)Y
29ONCE (CONE anag)