caps are cool in that if you have access to the leads on the old cap you can clip the new cap to those leads and test it out

Since that cap is for timing i would get a NP0 / C0G cap as they are precise caps that do not drift. The film / polyester caps are pretty stable too. The cap pictured on pinrepair looks like a +/- 20% tolerance general ceramic.

"Especially, NP0/CG/C0G capacitors with an α ±0•10−6 /K and an α tolerance of 30 ppm are technically of great interest. These capacitors have a capacitance variation dC/C of ±0.54% within the temperature range −55 to +125 °C. This enables accurate frequency response over a wide temperature range (in, for example, resonant circuits)."

https://www.digikey.com/product-detail/en/tdk-corporation/FG28C0G1H103JNT06/445-173474-1-ND/5812079

You can try the caps you got and see if it changes or fixes your problem. The ones in your link are just general purpose ceramic caps. They tend to be +/- 20% in accuracy and the capacitance may change if the board heats up.