I just tried to keep first egg under seventy degrees out of light but at least forty degrees, but still first egg development faster after hatching if it is male, so most of time it isn't useful to possibly endanger egg then still possibly take that baby out in morning and put back in evening, after taking out until second baby hatches and has doubled from hatching mass after day. Even if incubation started at same time male usually developes at least slightly quicker. Ive only had multiple breeds (show performance and utility), and multiple lines/strains/families of rollers/tumblers racers/homers for six years though. Never had trouble before song birds got into some of old pens.. luckily my rollers up in kit boxes and breeding cages an acre away.
If your parent birds healthy your just hatched first pigeon should have energy yolk stores to do good without boost of crop milk before other hatches, as pigeons made this way similar to how healthy chicks etc are.. if you know about birds. I wasn't suggesting OPs birds weren't healthy or anything bad, just saying what worked for show and performance quality different family lines of different breeds I've had of "Rock doves" (I still call Columbia livia that instead of new "rock pigeon" named), but lot do or don't work for others who just keep selves away from others not knowing about more than few breeds or lines kept at most. What works with some situations may stress in others. I'm in East TN foothills of smokey mountains where predators pests parasites viruses bacteria fungi mold and drastically changing within same day weather are all a lot harder on birds than easier cold dry clean living in South Eastern WI was. I've had seven hawk nests at time within sight of loft area and can have five hawks couple falcons and over dozen vultures around, so my flying performance birds are few but tough (obviously bad evaders are naturally culled and bad performance birds not bred from if weren't early starters showing, and made to three years old when potential shown fully of some roller lines). I've tried coddling some lines and it didn't work well as I don't enjoy my birds just sad and bored ornaments only. I've worked hard getting my birds where they are and don't sell or give away even what wouldn't breed fly or show. A lot of ol timers taught me that way and they have a lot more working knowledge than some young desk jockeys and I'm still learning lot from them. Some think birds old or burnt out no longer fly or breed able at two to five years max life span, some have them into early twenties still breeding n flying them healthy (mostly Homing types)..