Alternate the played strokes, not every number added
R&A Rule 22 states that penalty strokes do not affect the partners’ alternating order. The side’s score can increase without a partner having made a stroke. Keeping turn order from score parity alone can therefore fail.
Partner A plays the tee shot into a penalty area. The side takes one-stroke relief. Partner B still plays the next actual stroke, which is the side’s third stroke in the score. The penalty did not act as an imaginary shot by B.
Keep score and player sequence separately
Write A beside the tee shot, then add a penalty entry without a player’s played-stroke mark, then write B beside the next shot. The sequence of actual players remains A to B even though the score moved from one to three.
This original example assumes ordinary correctly taken relief and no extra infringement. It explains a narrow alternate-shot bookkeeping point rather than trying to choose the best relief option. A television total alone cannot identify the next partner if penalties have occurred. The played-stroke record supplies the missing information.
Questions answered
Does adding one penalty automatically hand the next shot back to the same partner?
No.
Who plays next after A’s tee shot and the stated one-stroke penalty?
B.
Sources & further reading
Official references for the subjects discussed. Service terms and device software can change.