No doubt...and I'm sure the Romans were as clumsily bureucratic as any other empire...It's just that most Gospel accounts suggest that the body was deposed and entombed rather hurriedly due to the onset of Passover. I could see the titulus crucis perhaps being taken off the cross and interred with the body. While most artwork suggests that it was a carved inscription, I'd think it probably more likely that it had been a written proclomation.
Yes, Passover, (the second Passover seder would have been on Friday evening) but not only that. The Jewish practice, Passover or not, then and now, is to bury ASAP, with little ceremony and no delay. The practice was to bury by sundown of the same day of the death, which in the spring of the year is about 6pm, so all the more, they had to work fast.
The practice of sitting around in "veneration of the body" is not something that happened in Jewish life those days. A dead body was considered very "unclean."
To this day, if you talk to a religious Jew with the last name of "Cohen,"* you will find that they have never been in a cemetery, not even for their own close relatives, because as members of the priestly tribe, they are to keep themselves ritually pure.
*I have realtives named "Cohen" and this is a fact drawn from my own experience.