The inevitable descent into the throes of alcohol addiction is a journey that is as unique as the individuals who traverse it. It's a road marked by complex intersections of biochemistry, social influence, psychological disposition, and personal life experience. The journey out of this abyss, towards sobriety, is no less personalized nor intricate. The path to rehabilitation is often facilitated by alcohol rehab centers which, in their diversity, provide a spectrum of services to cater to this heterogeneity of needs. Looking back on my personal journey, there are several insights I have gleaned about these rehab centers that I wish I had known prior to my enrollment; insights that could very likely refine the decision-making process for others on a similar journey.

To begin with, perhaps one of the most surprising revelations was the extent to which the effectiveness of rehab centers is contingent on the degree of patient readiness. Drawing from Prochaska and DiClemente's Transtheoretical Model of Change, it is evident that the individuals' position on the continuum of precontemplation, contemplation, preparation, action, and maintenance significantly affects their responsiveness to therapy. Those who are in the precontemplation stage may find the interventions at rehab centers premature and, consequently, ineffective. Understanding one's readiness for change thus becomes a crucial precursor to enrollment.

Secondly, the importance of the 'fit' between the rehab center and the individual cannot be overstated. From a social psychology perspective, the compatibility between the individual’s disposition and the center's philosophy is paramount. Alcohol rehab centers are not monolithic entities; they vary in their approach, ranging from motivational enhancement therapy, cognitive-behavioral therapy, to 12-step facilitation therapy, and more. This diversity caters to the heterogeneous needs of the individuals, recognizing that what might work for one may not work for another. Thus, researching the ethos and methods of different rehab centers could significantly enhance the chances of successful recovery.

Thirdly, utilizing a Bayesian approach to decision-making could be immensely beneficial. Bayesian inference, a method of statistical inference, allows one to update the probability of a hypothesis as more evidence or information becomes available. When enrolling in a rehab center, it is advisable to continuously reassess the utility of the center as one progresses through the program, integrating new information to update the initial belief about the center’s effectiveness. This iterative process could potentially prevent individuals from staying in an unhelpful situation based purely on their initial decision.

Finally, the role of the socioeconomic factors in determining access to and success in rehab centers is a reality I wish I had been more cognizant of. Economic resources influence not just the access to rehab centers, but also their quality and the subsequent support systems available post-rehabilitation. This reality underscores the significance of the economic capital in shaping one’s recovery journey, subtly reminding us that the path to sobriety is not solely determined by individual willpower, but is influenced by a constellation of interconnected social determinants.

In conclusion, alcohol rehab centers are a vital resource in aiding individuals on their path to recovery. However, like any major decision, it necessitates an informed, introspective, and flexible approach. Understanding personal readiness for change, aligning with the right center, using an iterative decision-making process, and recognizing the role of socioeconomic factors, can significantly shape the rehab experience and, consequently, the trajectory of recovery. By sharing these insights, it is my hope that others on this path can traverse this journey with a little more foresight, a lot more confidence, and an enduring belief in their capacity for change.