"shut up" the vision means it would not happen until way into the future, time of the end. It does not mean that there would not be more information given about the little horn person, the 2300 days, the transgression of desolation, him taking on the Prince of princes. and causing craft to prosper, destroying many by peace.
More information is given in Daniel 9 about the person and the 2300 days. And more information is added about the little horn person in Daniel 11, time of the end, beginning in v36-44. And more information is added about the time of the end in Daniel 12. All of those are prophecies in Daniel.
Danile 9:24 Seventy weeks are determined upon thy people and upon thy holy city, to finish the transgression, and to make an end of sins, and to make reconciliation for iniquity, and to bring in everlasting righteousness, and to seal up the vision and prophecy, and to anoint the most Holy.
And more information about the person and the time of the end in the four gospels and more information is added in the epistles. And more information is added in Revelation.
So it makes perfect sense, of Gabriel referring to the vision of the little horn person and the 2300 days. The 2300 days will take place during the 70th week. The little horn person will come from the people who destroyed the temple and city. He will confirm the Mt. Sinai covenant for seven years, the covenant that Daniel had being praying about his people transgressing in Daniel 9.
And the for seven years is in Deuteronomy 31:9-13.
And in the middle of the 70th week, the little horn person causes the daily sacrifice to stop. And commits the transgression of desolation. And the little horn person will meet his end at the end of the 70th week. When he attempts to stand up against Jesus the Prince of princes.