In beta, at least, the Battlegrounds mode doesn't have much of an incentive structure--as opposed to WOTLK Gold the other non-standard mode, Arena, which requires an entry fee and offers potentially big rewards for great performance. Battlegrounds has no such entry fee, and simply offers you a rank that raises or lowers after each match. Blizzard hasn't detailed if it will offer rewards at all. That makes the mode feel slight, like playing a Tavern Brawl after you've already claimed your weekly reward. Since the heroes don't count as class selections, they're ineligible for daily quest completion too.
The reward structure may change after the beta period. At least for now, the experience is slightly enhanced by having purchased packs from the latest expansion (for the beta, this is counted as the upcoming expansion Descent of Dragons). You could get detailed stat tracking, a selection of three heroes instead of two, and emotes depending on the number of packs purchased, but none of these features feel strictly necessary.
Ultimately, Battlegrounds did help introduce me to auto-battlers. I feel more capable and prepared to try others with the foundation this one has built. But I can't help but wonder if that experience would be the same for someone less familiar with WOTLK Classic. The mode introduces a handful of new units that are custom-built for the mode, but for the most part it relies on minions and mechanics that longtime WOTLK Classic players understand at a glance. If someone ed without that foundation, I'm concerned that trying to read and grasp each unit's information while under strict time constraints could be frustrating buy WOTLK Gold. If so, Battlegrounds may be another move that pleasantly caters to the WOTLK Classic community, without reaching very far outside of it.