The app is going to take time to load regardless of whether or not there's a splash screen.
Applications for the Family Computer (released as Nintendo Entertainment System outside Japan) loaded in less than 1000 milliseconds, which was more than enough time to decompress 5 KiB of title screen data into video memory. It had a 1.8 MHz processor. Devices nowadays have a processor clocked at closer to 1.8 GHz, which (to slightly oversimplify) is 1000 times as fast as the one in the NES. Why don't applications load in 1 millisecond?