We have what the Church gives us. Receiving ‘both’ is more like eating AND drinking, but in receiving one, even if we are ‘only’ eating, we are both eating and drinking; even if we are ‘only’ drinking, we are both drinking and eating.
So it’s not like getting anything ‘better’ in any way. It adds absolutely nothing to the perfect and absolute fullness that is present, totally, in each species. It isn’t like getting double Jesus, or even "doing it better’ or ‘doing what Jesus said’. It is perfectly acceptable, but it is not necessary.
And again, and this is not directed at you in any way, for you seem to have a proper understanding, there are some people whose understanding is so limited that they think that unless they actually have something physical to eat AND to drink, that they aren’t getting the ‘full meal combo’, and being ‘deprived’. It is my understanding that this kind of attitude was precisely the reason that the Church felt it necessary for umpteen centuries to have to demonstrate that ‘all of Jesus’ is contained within ONE species (that, and the fact that it is more common for there to be accidents spilling the Precious Blood, or in people becoming accidentally drunk, than it is for people to have an accident with the host).
And unfortunately, even though the majority of people today are capable of understanding that “all Jesus is present within both the Body and the Blood”, and would be capable, using due caution and respect, to receive both in a way that does emphasize both the eating and drinking, as you note, there are still some stubborn and intemperate souls who are insistent that somehow receiving both ‘is better’ (it is not), gives more complete Jesus (it does not), lack of both is a deprivation (it is not) and a wrongdoing (it is not), Jesus insisted on both species for all (He did not), etc.
As they say, one bad apple often tries to spoil the whole barrel. . .