Neither name settles reliability. A PRI has a circuit to itself, and Atlantech lists as a PRI advantage that it "does not rely on data bandwidth to support voice calls." A SIP trunk shares an IP connection unless you give it one of its own. Calls can degrade when that connection is congested, and they stop when it is down. But the same comparison points out that a PRI customer loses phone service when part of the circuit's own infrastructure is damaged, and it names weather, vandalism and aging cable among the causes. On the question of which is more reliable, its own answer is "It depends." The useful comparison is between the specific circuit and the specific connection you would be relying on.
Neither name settles security either. Atlantech disputes the common belief that PRI is the more secure of the two, and notes that copper cabling can be intercepted. It also says that voice run over the public internet without adequate network security can be exposed. In both cases the protection comes from how the service is built and run.
Cost depends on the quote more than on the interface. Atlantech's phone page describes its pricing as tailored to the customer and prints no rate for either connection. A fair comparison therefore needs two quotes built on the same inputs: the same number of simultaneous calls, the same phone numbers and the same calling. On the SIP side, count what the trunk adds to what you already pay for. That may be extra capacity on your data connection, and a gateway if the PBX needs one.
How long a PRI will stay on offer also sits outside the name. Atlantech wrote in 2023 that PRI and analog lines "continue to dwindle," while its phone page still lists PRI delivery today. If you plan to keep a PRI-based PBX for years, ask the carrier how long it will supply and support the circuit.