I think deconvolution relies on objects being represented by continuous functions - which stars of course are not. I usually mask stars off from deconvolution (the process tends to turn them into sharp Lorenzian points) and just apply the process to sharpening up details of e.g. bright galaxy cores, nebulosity and planetary nebulae. The stars are useful though because in PI you can use them to better define a local PSF adjacent to the object you wish to deconvolute.
Deconvolution also only works on areas of high SNR so it is best to mask off fainter areas to avoid strange effects. It is definitely a process well worth applying though to the right kinds of objects -- it has been transformative for recovering fine detail from some of the bright smaller planetary nebulae. Although of course - the Nyquist limit still applies - so it also requires getting the image scale down (i have been sampling down at ~ 0.5 arcsec in the hope of eventually recovering detail after deconvolution down to about 1)
Tim
PS noting your comment about coloured blotches ? - I think that for colour images the process should only be applied to the luminosity (or to single colour channels) ? Getting a bit deeper into the theory
https://www.researchgate.net/publication/2323502_Deconvolution_With_Correct_Sampling