Yes, you do hold coins on each side of the fork; there's no plausible technical way of merging the two sides again. Having said that, with sufficient consensus

Yes, you do hold coins on each side of the fork; there's no plausible technical way of merging the two sides again. Having said that, with sufficient consensus on the hard form, it's likely that the other side would have so few blocks mined as to be worthless and useless; one or the biggest disagreements between the Classic devs and the Core devs is the latter generally advocate much higher miner support thresholds, e.g. my own 99% support vs Gavin's 75% support.