Eh I don't see it getting suppressed. We aren't dealing with the same scenario as the Hunt brothers. We exist in a different era.
The 2024 supply of silver from mining and recycling (820m OZ + 194M oz = 1.014B oz) wasn't enough to satisfy demand (1.16B oz) so holdings made up for the difference. Of the estimated pre-existing above ground silver (55B oz) only about 6-7% take the form of physical investments (bullion).
About 72% of newly supplied silver comes into play as a byproduct of targeting other ores (lead/zinc, copper, gold) with the rest coming from dedicated silver mines so unless there is more mining being done for the other ores there is unlikely to be a huge influx of newly mined silver coming into the market.
Lead/zinc prices are rather stable and there is an oversupply of both. Copper is pushing resistance levels so there is an incentive to produce more copper.
In the time of the hunt brothers, industrial demand for silver was about 40-45% of annual silver production, whereas today the industrial demand of silver is pushing 60% of annual production.
AI and all the green energy stuff equates to demand for electronics which is the industry side of silver's demand. This also explains copper pushing resistance levels roundabout the same time as silver. I'd keep paying attention to that industrial demand element before the number of folks who might consider worrying about inflation as being the driver of the price.